Format:
1 Online-Ressource(IX, 283 p. 53 illus., 46 illus. in color.)
Edition:
1st ed. 2019.
ISBN:
9783030284169
Series Statement:
Compact Textbooks in Mathematics
Content:
Introduction to tensor calculus and Riemannian geometry -- Curved space-time -- The Schwarzschild metric -- Weak fields, gravitational waves -- Stars -- Cosmology.
Content:
This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.
Additional Edition:
ISBN 9783030284152
Additional Edition:
ISBN 9783030284176
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030284152
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030284176
Additional Edition:
Erscheint auch als Druck-Ausgabe Chruściel, Piotr T., 1957 - Elements of general relativity Cham, Switzerland : Birhäuser, 2019 ISBN 9783030284152
Language:
English
Keywords:
Allgemeine Relativitätstheorie
;
Differentialgeometrie
;
Riemannsche Geometrie
DOI:
10.1007/978-3-030-28416-9
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